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Volumn 19, Issue 3, 2003, Pages 685-701

Examples of exponential instability for inverse inclusion and scattering problems

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ELECTRIC CONDUCTIVITY; ELECTROSTATICS; THEOREM PROVING;

EID: 0038339458     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/19/3/313     Document Type: Article
Times cited : (96)

References (17)
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    • Alessandrini, G.1
  • 2
    • 0001464670 scopus 로고    scopus 로고
    • Examples of instability in inverse boundary-value problems
    • Alessandrini G 1997 Examples of instability in inverse boundary-value problems Inverse Problems 13 887-97
    • (1997) Inverse Problems , vol.13 , pp. 887-897
    • Alessandrini, G.1
  • 3
    • 33646843154 scopus 로고    scopus 로고
    • Analyticity and uniqueness for the inverse conductivity problem
    • Alessandrini G and Isakov V 1996 Analyticity and uniqueness for the inverse conductivity problem Rend. Ist. Mat. Univ. Trieste 28 351-69
    • (1996) Rend. Ist. Mat. Univ. Trieste , vol.28 , pp. 351-369
    • Alessandrini, G.1    Isakov, V.2
  • 4
    • 0035506004 scopus 로고    scopus 로고
    • Optimal stability for the inverse problem of multiple cavities
    • Alessandrini G and Rondi L 2001 Optimal stability for the inverse problem of multiple cavities J. Diff. Eqns 176 356-86
    • (2001) J. Diff. Eqns , vol.176 , pp. 356-386
    • Alessandrini, G.1    Rondi, L.2
  • 9
    • 84990557331 scopus 로고
    • On uniqueness of recovery of a discontinuous conductivity coefficient
    • Isakov V 1988 On uniqueness of recovery of a discontinuous conductivity coefficient Commun. Pure Appl. Math. 41 865-77
    • (1988) Commun. Pure Appl. Math. , vol.41 , pp. 865-877
    • Isakov, V.1
  • 10
    • 0003038831 scopus 로고
    • Stability estimates for obstacles in inverse scattering
    • Isakov V 1992 Stability estimates for obstacles in inverse scattering J. Comput. Appl. Math. 42 79-88
    • (1992) J. Comput. Appl. Math. , vol.42 , pp. 79-88
    • Isakov, V.1
  • 11
    • 0000522083 scopus 로고
    • New stability results for soft obstacles in inverse scattering
    • Isakov V 1993 New stability results for soft obstacles in inverse scattering Inverse Problems 9 535-43
    • (1993) Inverse Problems , vol.9 , pp. 535-543
    • Isakov, V.1
  • 12
    • 0001904852 scopus 로고
    • ε-entropy and ε-capacity of sets in functional spaces
    • in Russian
    • Kolmogorov A N and Tihomirov V M 1959 ε-entropy and ε-capacity of sets in functional spaces Usp. Mat. Nauk. 14 3-86 (in Russian) (Engl. transl. 1961 Am. Math. Soc. Transl. 17 277-364)
    • (1959) Usp. Mat. Nauk. , vol.14 , pp. 3-86
    • Kolmogorov, A.N.1    Tihomirov, V.M.2
  • 13
    • 0000624821 scopus 로고
    • Engl. transl.
    • Kolmogorov A N and Tihomirov V M 1959 ε-entropy and ε-capacity of sets in functional spaces Usp. Mat. Nauk. 14 3-86 (in Russian) (Engl. transl. 1961 Am. Math. Soc. Transl. 17 277-364)
    • (1961) Am. Math. Soc. Transl. , vol.17 , pp. 277-364
  • 14
    • 0035473445 scopus 로고    scopus 로고
    • Exponential instability in an inverse problem for the Schrödinger equation
    • Mandache N 2001 Exponential instability in an inverse problem for the Schrödinger equation Inverse Problems 17 1435-44
    • (2001) Inverse Problems , vol.17 , pp. 1435-1444
    • Mandache, N.1
  • 16
    • 0038594468 scopus 로고    scopus 로고
    • Unique determination of non-smooth sound-soft scatterers by finitely many far-field measurements
    • at press
    • Rondi L 2003 Unique determination of non-smooth sound-soft scatterers by finitely many far-field measurements Ind. Univ. Math. J. at press
    • (2003) Ind. Univ. Math. J.
    • Rondi, L.1
  • 17
    • 0037918327 scopus 로고
    • ε-entropy and ε-capacity in the theory of ill-posed problems
    • Scalas E and Viano G A 1993 ε-entropy and ε-capacity in the theory of ill-posed problems Inverse Problems 9 545-50
    • (1993) Inverse Problems , vol.9 , pp. 545-550
    • Scalas, E.1    Viano, G.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.